Develop a solution for the following line balancing problem,

allowing a cycle time of $5$ minutes. $(7$ points$)$ a$.$ Draw the

precedence diagram for the set of tasks. b$.$ Calculate the

theoretical minimum number of workstations. c$.$ Balance this line

using the longest task time heuristic. d$.$ What tasks are assigned

to which stations? e$.$ Does the solution have the minimum number of

stations? Explain. f$.$ How much idle time is there, summed over all

workstations? g$.$ What is the efficiency of this line? Work Task

Task Time $($seconds$)$ Task Predecessor$($s$)$ A $70-$ B $60$ A C $120$ B D $60$

$-$ E $240$ C$,$ D F $100$ A G $190$ E$,$ FN